Evening Lecture

Ed Keenan

Logical Properties of Quantification in Natural Language

In the past 20 years Generalized Quantifier Theory has deepened, massively, our understanding of quantification in natural language. Here I review the logical types of expressible quantifiers in natural language, including interrogative ones, non-Fregean ones, polymorphic ones as well as "logical vs "non-logical" ones and first order vs non-first order definable ones. We look at their (claimed) universal properties (Domain Independence, Conservativity, Inherent Sortality), logically natural subclasses (Generalized Existential, Universal and Proportional), linguistically natural subclasses (Existential There NPs, Definite NPs, NP Licensers of negative polarity items).